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Existence of Periodic Solutions of Nonlinear Boundary Value Problems and the Method of Upper and Lower Solutions
(University of Texas at Arlington, 1981-11)
**Please note that the full text is embargoed** ABSTRACT: We study the existence of periodic solutions of second order nonlinear differential equations by combining the method of upper and lower solutions and the method ...
Numerical Simulation of Miscible and Immiscible Fluid Flows in Porous Media
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: Fast, economical, and accurate finite difference numerical methods are developed for approximating continuum
models of both miscible and immiscible fluid flows ...
Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1981-05)
**Please note that the full text is embargoed** ABSTRACT: One of the most useful techniques in proving the existence of multiple solutions of nonlinear boundary value problems (BVP for short) is the
monotone iterative ...
On Washout in Nonlinear Compartmental Systems
(University of Texas at Arlington, 1981-04)
**Please note that the full text is embargoed** ABSTRACT: Let x(t) be a solution of a compartmental system. If, for some compartment j, x (t) -> 0 as t -> °°, then we say that compartment
j washes out. We show that a ...
Monotone Method for Equations Describing Transport Phenomena in a Banach Space
(University of Texas at Arlington, 1981-06)
**Please note that the full text is embargoed** ABSTRACT: Existence of extremal solutions of initial and boundary value problems (B.V.P. for short) of differential equations in a Banach
space has been recently considered ...
An Estimate for the Roots of Random Algebraic Polynomial with Application
(University of Texas at Arlington, 1981-06)
**Please note that the full text is embargoed** ABSTRACT: An algebraic polynomial with dependent random coefficients is
considered. The difference between the sample roots of random
algebraic equation and the roots of ...
The Threshold Problem for Fitzhugh-Nagumo Equations
(University of Texas at Arlington, 1981-03)
**Please note that the full text is embargoed**
Existence and Monotone Method for Periodic Solutions of First Order Differential Equations
(University of Texas at Arlington, 1981-09)
**Please note that the full text is embargoed** ABSTRACT: An attempt was made recently in [3] to combine fruitfully the two basic techniques, namely the method of upper and lower solutions and the Lyapunov-Schmitt
method ...
On the Theory of Terminal Value Problems for Ordinary Differential Equations
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: It is well known [2] that the comparison principle for initial value problems of ordinary differential equations is a very useful tool in the study of
qualitative ...
Bounded Solutions for some Gradient Type Systems
(University of Texas at Arlington, 1981-04)
**Please note that the full text is embargoed** ABSTRACT: C. Corduneanu in [3,TH.1] investigated the existence of a unique bounded solution of the system [see pdf for notation] (1.1)
with [see pdf for notation] continuous ...